What is the Least Common Multiple of 73524 and 73536?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 73524 and 73536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73524 and 73536, than apply into the LCM equation.

GCF(73524,73536) = 12
LCM(73524,73536) = ( 73524 × 73536) / 12
LCM(73524,73536) = 5406660864 / 12
LCM(73524,73536) = 450555072

Least Common Multiple (LCM) of 73524 and 73536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73524 and 73536. First we will calculate the prime factors of 73524 and 73536.

Prime Factorization of 73524

Prime Factorization of 73536

Now multiplying the highest exponent prime factors to calculate the LCM of 73524 and 73536.

LCM(73524,73536) = 2⁶ × 3¹ × 11¹ × 557¹ × 383¹
LCM(73524,73536) = 450555072